Answer: A. 45 miles per hour
B. 135 miles
Step-by-step explanation:
Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.
In the equation [tex]d=45t[/tex], d represents the distance (in miles) and t represents the time (in hours).
[tex]\Rightarrow\frac{d}{t}=45\text{ miles per hour}[/tex]
⇒ The constant of proportionality=45 miles per hour.
Also, the distance traveled by car in 1 hour=45 miles
⇒ The distance traveled by car in 3 hours=[tex]3\times45=135\text{ miles}[/tex]
∴ A car will travel 135 hours in 3 hours.
each year, the department of water works measures the chloride concentration level in the water. the first year, they found the chloride concentration changed by -13/5 mg /L . it is estimated that the chloride concentration will change -21/15 mg/L the next year. what is the total change that will likely occur in 2 years?
Answer:
um i think its 8/30
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is
4.8 MB. Yesterday, there were 1010 downloads of the song, for a total download size of 3039 MB. How many downloads of the high-quality version were there?
Please answer the following question
Un rectángulo tiene un área de 30 metros cuadrados y un perímetro de 34 metros. Cuáles son las dimensiones del rectángulo
it is given that 2(3+x)=6+2x. this is an example of the ____ property.
Answer:
Distributive Property
Step-by-step explanation:
USA Testprep
Expression 2(3+x)=6+2x is an example of the distributive property,
the given expression is:
2(3+x)=6+2x.
what is distributive property?The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.
for example
a(b+c) = a*b+ a*c=ab+ac
a(b-c)= a*b-a*c=ab - ac
in the same way,
given expression
2(3+x)= 2*3+2*x = 6+2x
therefore, expression 2(3+x)=6+2x is an example of the distributive property.
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Find the slope of the line.
Answer: [tex]m = \frac{1}{6}[/tex]
Step-by-step explanation:
(-5,-4) = (x1, y1)
(1,-3) = (x2, y2)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-3-(-4)}{1-(-5)}[/tex]
= [tex]\frac{-3+4}{1+5}[/tex]
= [tex]\frac{1}{1+5}[/tex]
= [tex]\frac{1}{6}[/tex]
A packing machine can pack 4,000 boxes in 5 hours. At what rate does the machine work?
Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend?
Julie: $5.62
Micah:
Jeremy:
Explain how you can use a quick picture to find 3 × 2.7
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs?
Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?
Write 10x - 5y = 30 in slope intercept form
The required equation in slope-intercept form is y = 2x - 6.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.Based on the information provided about this line, a linear equation in standard form that models it is given by;
y = mx + b
10x - 5y = 30
By making y the subject of formula, we have the following:
10x - 5y = 30
2x - y = 6
y = 2x - 6
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aiko jump rope for an amazing 20 min she stopped at 8:05 when did she start
1. The probability of randomly selecting a female from a group of 25 elementary school teachers is 21/25. Which of the following describes the likelihood of selecting a female elementary school teacher?
a .unlikely
b. neither unlikely nor likely
c. likely
What does it mean to classify the real number?
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $25 in addition to $4.75 per hour. Waitress B is offering her services for an initial $30 in addition to $3.75 per hour. When will the two waiters charge the same amount of money?
At
hours, both waiters will charge the same amount, which is.....
Waiter A and waitress B will charge the same amount of money in 5 hours and which is $48.75.
What is the equation?The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.
As per the question, we can write the equations as:
For Waiter A, this is given by the equation 25 + 4.75h,
For Waitress B, the equation is 30 + 3.75h.
where h is the number of hours.
We can set up the equation 25 + 4.75h = 30 + 3.75h by equating the total amount each waiter will charge. Solving for h, we get:
25 + 4.75h = 30 +
4.75h - 3.75h = 30 - 25
h = 5
This means that at 1.05 hours, both waiters will charge the same amount of money.
The total amount they will charge is:
⇒ 25 + 4.75(5)
⇒ 30 + 3.75(1.05)
⇒ $48.75.
Thus, they will charge the same amount of money in 5 hours and which is $48.75.
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what is the system equation of y=1/4x : x+4y=8?
The system equation of y = 1/4x and x + 4y = 8 can be found by substituting the value of y from the first equation into the second equation and solving for x. The solution is x = 4 and y = 1.
Explanation:The given system of equations is y = 1/4x and x + 4y = 8.
To find the system equation, we can substitute the value of y from the first equation into the second equation.
Substituting y = 1/4x into x + 4y = 8 gives us x + 4(1/4x) = 8. Simplifying this equation, we get x + x = 8, which is equivalent to 2x = 8. Solving for x, we find x = 4. Substituting this value back into the first equation, we can solve for y and find y = 1.
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What is 132 divided by 8 using long division with the remainder (pls show the work so I can copy it pls)
The quotient of 132 divided by 8 is 16 with a remainder of 0.
let us perform long division to find the quotient of 132 divided by 8, including the remainder.
16
__________
8 | 132
Step 1: Determine how many times 8 can be divided into 13 (the first two digits of 132).
16
__________
8 | 132
8
Step 2: Multiply 8 by 1, which gives us 8. Write the result below 132.
16
__________
8 | 132
8
-------
12
Step 3: Subtract 8 from 13 (the original dividend). Write the result below the line.
16
__________
8 | 132
8
-------
12
-------
Step 4: Bring down the next digit of the dividend, which is 2.
16
__________
8 | 132
8
-------
12
2
-------
Step 5: Determine how many times 8 can be divided into 12. The answer is 1.
16
__________
8 | 132
8
-------
12
2
-------
8
Step 6: Multiply 8 by 1, which gives us 8. Write the result below 12.
16
__________
8 | 132
8
-------
12
2
-------
8
Step 7: Subtract 8 from 12.
16
__________
8 | 132
8
-------
12
2
-------
8
-------
Step 8: We have no more digits to bring down from the dividend. The remainder is 0.
Therefore, the quotient of 132 divided by 8 is 16 with a remainder of 0.
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Could someone please help me on this graph? I'll give the Brainliest to whoever is CORRECT.
Danielle needs to sell candy bars for a club fundraiser. She starts with 72 candy bars and begins selling at a constant rate of 8 bars each day.
Use the Segment tool to plot a graph representing the number of candy bars Danielle has left to sell from the time she begins selling until the candy bars are gone.
PLEASE HELP WITH THIS I DONT UNDERSTAND THIS ONE
The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor.
make sure to use a well explained answer.
V(6, 2), W(-2, 4), X(-3, -2), Y(3, -5), scale factor of 2
quantas palavras com 2 letras distintas podemos formar com as 7 primeiras letras do alfabeto
The value of a car changed from $14,000 to $11,200. Find the percent of change. Show work please!
Compare the values of each digits in the decimal 962.69 , compare the 6 in the tens place than the 6 in the tenths place.
Starting from the same place, Sara walks due west and Ammad walks due east. On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. A number line with a point for Ammad at coordinate 480 and a point for Sara at coordinate -240. How many feet apart are Sara and Ammad on the number line?
The answer is 720, hope this helps :)
Each day at lunchtime, at least 53 people buy food from a food truck.
Using the variable p, an inequality that represents that situation is...
Answer:
p≥ 53
Step-by-step explanation:
Given that, at least 53 people buy food from the food truck. It means minimum 53 people buy the food, and number greater than 53 is quite possible; however, the possibility of people buying food less than 53 is not possible.
Since the number of people is alway 53 or greater than 53 therefore we may represent this condition using the greater and equal sign.
Lets use the variable p for people who buy the food.
Now the inequality can be written as
p≥ 53
So our desired inequality is p≥ 53 .
what is 31000 decreased by 6%
HELP!!!!!!! PLEASE LITTLE BOY IN CRISIS!!!!!!!!1
Look at the model that shows 1/2 =3/6. How does the number of parts in the whole affect the number of parts that are shaded?
Equivalent fractions represent the same portion of a whole, despite having different numerators and denominators. By increasing the number of equally divided parts of a whole and accordingly adjusting the number of shaded parts, you create equivalent fractions such as 1/2 and 3/6, which look different but represent the same amount.
Explanation:The question is addressing a concept in Mathematics, specifically the idea of equivalent fractions and how changing the number of parts in a whole affects those fractions. When you look at the model showing 1/2 = 3/6, you see that the whole is divided into different numbers of parts. The fraction 1/2 means that one out of two equal parts of the whole is shaded, whereas 3/6 indicates that three out of six equal parts of the whole are shaded.
To understand this, imagine dividing a shape into two equal parts. Shading one of these gives you 1/2. If you further divide each half into three parts, making six equal parts in total, and shade three, you still have the same amount shaded (which is half) but in terms of six parts now, hence 3/6. This shows that by increasing the number of parts into which the whole is divided, while maintaining the proportion of the shaded area, you increase both the numerator and denominator of the fraction proportionally, thus creating what is known as an equivalent fraction.
Nadia surveyed 80 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?
The number of the more students who prefer math over science is 32.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Nadia surveyed 80 students at her school and found that 0.55 of the students she surveyed said their favourite class is math. Another 15% of the students she surveyed reported that their favourite class is science.
The number of students will be calculated as,
People whose favourite class is math,
80 x .55 = 44
People whose favourite class is science,
80 x .15 = 12
The number of students will be calculated as,
44 - 12 = 32 (more students prefer math over science)
Therefore, the number of the more students who prefer math over science is 32.
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do the following lengths form a right triangle?
a= 6.4, b= 12, c= 12.2
Answer:
It is not a right triangle,184.96 ≠ 148.84
Step-by-step explanation:
Definition of Pythagoras theorem:The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.
The formula is as follows:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Given, a= 6.4, b= 12, c= 12.2
Using the Pythagorean Theorem, [tex]a^{2} + b^{2} = c^{2}[/tex] ,you may determine if they form a right triangle:
[tex](6.4)^2 + (12)^2 = (12.2)^2[/tex]
40.96 + 144 = 148.84
184.96 ≠ 148.84
Therefore, this is not a right triangle.
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1 kg of sand has a volume of 400 cm*. What is its densityin g/cm*.
( * is cubed)
Write a real world situation that could be modeled by the equation 100-6x=160-10x.
Answer:
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Step-by-step explanation:
Consider the provided information.
We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.
You can use any situation to represents this equation.
The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Use the distributive property to express 24+36
Connie and Chris are saving money to go to a concert. Connie has $9 and saves $6 per week.
Connie wrote an equation to determine how much she saves in a given week.
y=6x+9
Chris has $27 and saves $3 per week.
Chris made a graph to show how much he saves in a given week.
How many weeks will it take Connie and Chris to save the same amount of money?